242 lines
10 KiB
Plaintext
242 lines
10 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {},
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"outputs": [],
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"source": [
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"import numpy as np\n",
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"import matplotlib.pyplot as plt\n",
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"from Regler_class_file import PI_controller_class\n",
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"\n",
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"#importing Druckrohrleitung\n",
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"import sys\n",
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"import os\n",
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"current = os.path.dirname(os.path.realpath('Main_Programm.ipynb'))\n",
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"parent = os.path.dirname(current)\n",
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"sys.path.append(parent)\n",
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"from functions.pressure_conversion import pressure_conversion\n",
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"from Ausgleichsbecken.Ausgleichsbecken_class_file import Ausgleichsbecken_class\n",
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"from Turbinen.Turbinen_class_file import Francis_Turbine"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [],
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"source": [
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"# define constants\n",
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"\n",
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" # for physics\n",
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"g = 9.81 # [m/s²] gravitational acceleration \n",
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"rho = 1000. # [kg/m³] density of water \n",
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"pUnit_calc = 'Pa' # [text] DO NOT CHANGE! for pressure conversion in print statements and plot labels \n",
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"pUnit_conv = 'mWS' # [text] for pressure conversion in print statements and plot labels\n",
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"\n",
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"\n",
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" # for Turbine\n",
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"Tur_Q_nenn = 0.85 # [m³/s] nominal flux of turbine \n",
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"Tur_p_nenn = pressure_conversion(10.6,'bar',pUnit_calc) # [Pa] nominal pressure of turbine \n",
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"Tur_closingTime = 90. # [s] closing time of turbine\n",
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"\n",
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"\n",
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" # for PI controller\n",
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"Con_targetLevel = 8. # [m]\n",
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"Con_K_p = 0.1 # [-] proportional constant of PI controller\n",
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"Con_T_i = 10. # [s] timespan in which a steady state error is corrected by the intergal term\n",
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"Con_deadbandRange = 0.05 # [m] Deadband range around targetLevel for which the controller does NOT intervene\n",
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"\n",
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"\n",
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" # for pipeline\n",
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"Pip_length = (535.+478.) # [m] length of pipeline\n",
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"Pip_dia = 0.9 # [m] diameter of pipeline\n",
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"Pip_area = Pip_dia**2/4*np.pi # [m²] crossectional area of pipeline\n",
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"Pip_head = 105. # [m] hydraulic head of pipeline without reservoir\n",
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"Pip_angle = np.arcsin(Pip_head/Pip_length) # [rad] elevation angle of pipeline \n",
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"Pip_n_seg = 50 # [-] number of pipe segments in discretization\n",
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"Pip_f_D = 0.014 # [-] Darcy friction factor\n",
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"Pip_pw_vel = 500. # [m/s] propagation velocity of the pressure wave (pw) in the given pipeline\n",
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" # derivatives of the pipeline constants\n",
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"Pip_dx = Pip_length/Pip_n_seg # [m] length of each pipe segment\n",
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"Pip_dt = Pip_dx/Pip_pw_vel # [s] timestep according to method of characteristics\n",
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"Pip_nn = Pip_n_seg+1 # [1] number of nodes\n",
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"Pip_x_vec = np.arange(0,Pip_nn,1)*Pip_dx # [m] vector holding the distance of each node from the upstream reservoir along the pipeline\n",
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"Pip_h_vec = np.arange(0,Pip_nn,1)*Pip_head/Pip_n_seg # [m] vector holding the vertival distance of each node from the upstream reservoir\n",
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"\n",
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"\n",
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" # for reservoir\n",
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"Res_area_base = 10. # [m²] total base are of the cuboid reservoir \n",
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"Res_area_out = Pip_area # [m²] outflux area of the reservoir, given by pipeline area\n",
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"Res_level_crit_lo = 0. # [m] for yet-to-be-implemented warnings\n",
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"Res_level_crit_hi = np.inf # [m] for yet-to-be-implemented warnings\n",
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"Res_dt_approx = 1e-3 # [s] approx. timestep of reservoir time evolution to ensure numerical stability (see Res_nt why approx.)\n",
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"Res_nt = max(1,int(Pip_dt//Res_dt_approx)) # [1] number of timesteps of the reservoir time evolution within one timestep of the pipeline\n",
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"Res_dt = Pip_dt/Res_nt # [s] harmonised timestep of reservoir time evolution\n",
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"\n",
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" # for general simulation\n",
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"flux_init = Tur_Q_nenn/1.1 # [m³/s] initial flux through whole system for steady state initialization \n",
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"level_init = Con_targetLevel # [m] initial water level in upstream reservoir for steady state initialization\n",
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"simTime_target = 600. # [s] target for total simulation time (will vary slightly to fit with Pip_dt)\n",
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"nt = int(simTime_target//Pip_dt) # [1] Number of timesteps of the whole system\n",
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"t_vec = np.arange(0,nt+1,1)*Pip_dt # [s] time vector. At each step of t_vec the system parameters are stored\n"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {},
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"outputs": [],
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"source": [
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"# create objects\n",
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"offset_pressure = pressure_conversion(Pip_head,'mws',pUnit_calc)\n",
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"\n",
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"# Upstream reservoir\n",
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"reservoir = Ausgleichsbecken_class(Res_area_base,Res_area_out,Res_dt,pUnit_conv,Res_level_crit_lo,Res_level_crit_hi,rho)\n",
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"reservoir.set_steady_state(flux_init,level_init)\n",
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"\n",
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"# downstream turbine\n",
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"turbine = Francis_Turbine(Tur_Q_nenn,Tur_p_nenn,Tur_closingTime,Pip_dt,pUnit_conv)\n",
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"turbine.set_steady_state(flux_init,reservoir.get_current_pressure()+offset_pressure)\n",
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"\n",
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"\n",
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"# level controll\n",
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"level_control = PI_controller_class(Con_targetLevel,Con_deadbandRange,Con_K_p,Con_T_i,Pip_dt)\n",
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"level_control.set_control_variable(turbine.get_current_LA(),display_warning=False)\n"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {},
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"outputs": [],
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"source": [
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"level_vec = np.zeros_like(t_vec)\n",
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"level_vec[0] = level_init\n",
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"LA_ist_vec = np.zeros_like(t_vec)\n",
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"LA_ist_vec[0] = turbine.get_current_LA()\n",
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"LA_soll_vec = np.zeros_like(t_vec)\n",
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"LA_soll_vec[0] = turbine.get_current_LA()\n",
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"Q_vec = np.zeros_like(t_vec)\n",
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"Q_vec[0] = turbine.get_current_Q()"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"0.0\n",
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"40.52\n",
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"81.04\n",
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"121.56\n",
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"162.08\n",
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"202.6\n",
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"243.12\n",
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"283.64\n",
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"324.16\n",
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"364.68\n",
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"405.2\n",
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"445.72\n",
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"486.24\n",
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"526.76\n",
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"567.28\n"
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]
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}
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],
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"source": [
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"# time loop\n",
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"\n",
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"for i in range(nt+1):\n",
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"\n",
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" if np.mod(i,1e3) == 0:\n",
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" print(t_vec[i])\n",
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"\n",
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" if i > 0.1*(nt+1):\n",
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" reservoir.set_influx(0.)\n",
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"\n",
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" p = reservoir.get_current_pressure()\n",
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" level_control.update_control_variable(reservoir.level)\n",
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" LA_soll = level_control.get_current_control_variable()\n",
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" turbine.update_LA(LA_soll)\n",
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" turbine.set_pressure(p+offset_pressure)\n",
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" LA_soll_vec[i] = LA_soll\n",
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" LA_ist_vec[i] = turbine.get_current_LA()\n",
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" Q_vec[i] = turbine.get_current_Q()\n",
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"\n",
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" \n",
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" reservoir.set_outflux(Q_vec[i],display_warning=False)\n",
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"\n",
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" for it_res in range(Res_nt):\n",
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" reservoir.timestep_reservoir_evolution() \n",
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" level_vec[i] = reservoir.get_current_level()\n",
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" \n",
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" "
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]
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},
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{
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"cell_type": "code",
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"execution_count": 6,
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"metadata": {},
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"outputs": [],
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"source": [
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"%matplotlib qt5\n",
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"# time loop\n",
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"\n",
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"# create a figure and subplots to display the velocity and pressure distribution across the pipeline in each pipeline step\n",
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"fig1,axs1 = plt.subplots(3,1)\n",
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"axs1[0].set_title('Level')\n",
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"axs1[0].set_xlabel(r'$t$ [$\\mathrm{s}$]')\n",
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"axs1[0].set_ylabel(r'$h$ [$\\mathrm{m}$]')\n",
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"axs1[0].plot(t_vec,level_vec)\n",
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"axs1[0].set_ylim([0*level_init,1.5*level_init])\n",
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"axs1[1].set_title('Flux')\n",
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"axs1[1].set_xlabel(r'$t$ [$\\mathrm{s}$]')\n",
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"axs1[1].set_ylabel(r'$Q$ [$\\mathrm{m} / \\mathrm{s}^3$]')\n",
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"axs1[1].plot(t_vec,Q_vec)\n",
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"axs1[1].set_ylim([0,2*flux_init])\n",
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"axs1[2].set_title('LA')\n",
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"axs1[2].set_xlabel(r'$t$ [$\\mathrm{s}$]')\n",
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"axs1[2].set_ylabel(r'$LA$ [%]')\n",
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"axs1[2].plot(t_vec,LA_soll_vec)\n",
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"axs1[2].plot(t_vec,LA_ist_vec)\n",
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"axs1[2].set_ylim([0,1])\n",
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"fig1.tight_layout()\n",
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"fig1.show()\n"
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]
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}
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Python 3.8.13 ('Georg_DT_Slot3')",
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"language": "python",
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"name": "python3"
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},
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"language_info": {
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"codemirror_mode": {
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"name": "ipython",
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"orig_nbformat": 4,
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"vscode": {
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"interpreter": {
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"hash": "84fb123bdc47ab647d3782661abcbe80fbb79236dd2f8adf4cef30e8755eb2cd"
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